A015413 Gaussian binomial coefficient [ n,11 ] for q=-8.

1, -7635497415, 66629509457629850745, -571227449525600988055816521095, 4908004671908135948969747939905903872633, -42158152544207284340561914581652169948472972883335

Offset

11,2

References

J. Goldman and G.-C. Rota, The number of subspaces of a vector space, pp. 75-83 of W. T. Tutte, editor, Recent Progress in Combinatorics. Academic Press, NY, 1969.

I. P. Goulden and D. M. Jackson, Combinatorial Enumeration. Wiley, NY, 1983, p. 99.

M. Sved, Gaussians and binomials, Ars. Combinatoria, 17A (1984), 325-351.

Links

Vincenzo Librandi, Table of n, a(n) for n = 11..110

Formula

a(n) = Product_{i=1..11} ((-8)^(n-i+1)-1)/((-8)^i-1) (by definition). - Vincenzo Librandi, Nov 06 2012

Mathematica

Table[QBinomial[n, 11, -8], {n, 11, 20}] (* Vincenzo Librandi, Nov 06 2012 *)

Prog

(Sage) [gaussian_binomial(n, 11, -8) for n in range(11, 17)] # Zerinvary Lajos, May 28 2009
(Magma) r:=11; q:=-8; [&*[(1-q^(n-i+1))/(1-q^i): i in [1..r]]: n in [r..20]]; // Vincenzo Librandi, Nov 06 2012

Crossrefs

Sequence in context: A104851 A226950 A225141 * A288090 A306828 A364436

Adjacent sequences: A015410 A015411 A015412 * A015414 A015415 A015416

Keyword

sign,easy

Author

Olivier Gérard

Status

approved